Back MatterSource: The American Mathematical Monthly, Vol. 20, No. 6 (Jun., 1913)Published by: Mathematical Association of AmericaStable URL: http://www.jstor.org/stable/2973085 .

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TO

ALL TEACHERS OF MATHEMATICS AND

OTHERS INTERESTED IN MATHEMATICAL PROGRESS

THE AMERICAN MATHEMATICAL MONTHLY, since its reorganization in January,

1913, has endeavored to fulfill its mission as "A JOURNAL FOR TEACHERS OF

MATHEMATICS IN THE COLLEGIATE AND ADVANCED SECONDARY FIELDS."

A selection from the Tables of Contents of the first six numbers includes articles on-

The History of Mathematics, such as the following:

"History of the Exponential and Logarithmic Concepts," by PROFESSOR FLORIAN CAJORI, of Colorado College;

"The Foundation Period in the History of Group Theory," by JOSEPHINE BURNS, Graduate Student at the University of Illinois;

"Errors in the Literature on Groups of Finite Order," by PROFESSOR G. A. MILLER, University of Illinois.

Pedagogical Considerations, such as the following:

The "Foreword" concerning Collegiate Mathematics, by PROFESSOR E. R. HEDRICK, Uni- versity of Missouri;

"Mathematical Literature for High Schools," by PROFESSOR G. A. MILLER;

"Minimum Courses in Engineering Mathematics," by PROFESSOR SAUL EPSTEEN, University of Colorado;

"Incentives to Mathematical Activity," by PROFESSOR H. E. SLAUGHT, University of Chicago.

General Mathematical Information, such as the following:

"The Third Cleveland Meeting of the American Association for the Advancement of Science," by PROFESSOR G. A. MILLER;

"Western Meetings of Mathematicians," by PROFESSOR H. E. SLAUGHT;

"Notes and News" of events pertaining to mathematics, under the direction of a committee of which PROFESSOR FLORIAN CAJORI is chairman;

"Book Reviews" and announcements of new books in mathematics, under the direction of a committee of which PROFESSOR W. H. BUSSEY, University of Minnesota, is chairman.

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Topics Involving a Minimum of Technical Treatment, such as the following:

"Maximum Parcels under the New Parcel Post Law," by PROFESSOR W. H. BUSSEY;

"Precise Measurements with a Steel Tape," by PROFESSOR G. R. DEAN, Missouri School of Mines;

"A Direct Definition of Logarithmic Derivative," by PROFESSOR E. R. HEDRICK;

"A Simple Formula for the Angle Between Two Planes," by PROFESSOR E. V. HUNTINGTON, Harvard University;

"Two Geometrical Applications of the Method of Least Squares," by PROFESSOR J. L. COOLIDGE, Harvard University;

"Problems Proposed and Solved," under the direction of a committee of which PROFESSOR B. F. FINKEL, Drury College, is chairman.

Topics Involving Somewhat More Technical Treatment, designed to stimulate

mathematical activity on the part of ambitious students and teachers. Such

articles have occupied only about one-sixth of the entire space; for example,

such as the following:

"The Remainder Term in a Certain Development of F(a + x)," by PROFESSOR R. D. CARMICHAEL, Indiana University;

"A Geometric Interpretation of the Function F in Hyperbolic Orbits," by PROFESSOR W. 0. BEAL, Illinois College;

"Certain Theorems in the Theory of Quadratic Residues," by PROFESSOR D. N. LEHMER, University of California;

"Some Inverse Problems in the Calculus of Variations," by DR. E. J. MILES, Yale University; "Amicable Number Triples," by PROFESSOR L. E. DICKSON, University of Chicago.

Professor Cajori's " History of Logarithms " has run serially from the begin-

ning and will have covered about 60 pages when concluded in the September issue.

This is not only a contribution of great value but it is, at the same time, an

extremely fascinating piece of reading. It will not be obtainable elsewhere

after the present limited number of extra copies is exhausted, and these will be

supplied only to new subscribers to the MONTHLY.

The Subscription Price of the Monthly is only Two DOLLARS ($2.50 in foreign

countries) per volume of ten numbers containing about 350 pages. Subscriptions

should be sent to the Treasurer, B. F. Finkel, Springfield, Missouri.

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EUGENE DIETZGEN COMPANY MANUFACTURERS

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SYLLABUS OF MATHEMATICS Second Edition--Second Thousand. Bound in semi-flexible dark blue cloth, 144 pages.

Published by the Society for the Promotion of Engineering Education.

COMPILED under the direction of the eminent mathematicians forming the "Committee on the Teaching of Mathematics to Students of Engineering," by the chairman, Professor E. V.

Huntington of Harvard University.

The Committee has prepared and incorporated in the Syllabus a synopsis of those fundamental principles and methods of mathematics which should constitute the minimum mathematical equipment of the student of engineering.

The Syllabus contains sections on Elementary Algebra, Elementary Geometry and Mensuration, Plane Trigonometry, Analytic Geometry, Differential and Integral Calculus and Complex Quan- tities. There is also some discussion of the subject by the Members of the Society.

Copies will be sent for 75c. each, prepaid, by the Secretary, H. H.NORRIS, Cornell University, Ithaca, New York

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MATHEMATICAL PORTRAIT SERIES " It was a pleasure to accede to the request of The Open Court Publishing Company

that it be allowed to use my collection of portraits in preparing the Portfolios of Emi- nent Mathematicians. Having been many years in collecting these portraits of those who have created mathematics, and knowing the difficulty in securing suitable ones for framing, Ifeel that the portfolios will meet a genuine need. Since they reproduce engrav- ings selected from a collection of upwards of two thousand, and bear the names of some of the best known of the world's mathematicians, their value in the classroom is evident."

-DAVID EUGENE SMITH.

DESCRIPTION OF THE THREE PORTFOLIOS PORTFOLIO NO. 1. Twelve great Mathematicians down to 1700 A. D.: Thales,

Pythagoras, Euclid, Archimedes, Leonardo of Pisa, Cardan, Vieta, Napier, Descartes, Fermat, Newton, Liebnitz.

PORTFOLIO No. 2. The most eminent founders and promoters of the infini- tesimal calculus: Cavallieri, Johann and Jakob Bernoulli, Pascal, L' Hopital, Barrow, Laplace, Lagrange, Euler, Gauss, Monge, and Niccolo Tartaglia.

PORTFOLIO No. 3. Eight portraits selected from the two former portfolios, especially adapted for high schools and academies, comprising portraits of Thales-with whom began the study of scientific geometry; Pythagoras-who proved the proposition of the square on the hypotenuse: Euclid-whose Elements of Geometry form the basis of all modern text-books; Archimedes-whose treatment of the circle, cone, cylinder and sphere influ-

ences our work today; Descartes-to whom we are indebted for the graphic algebra in our high schools; Newton-who generalized the binomial theorem and invented the calculus Napier-who invented logarithms and contributed to trigonometry; Pascal-who discovered the " Mystic Hexagram " at the age of sixteen.

Accompanying each portrait is a brief biographical sketch, with occasional notes of interest concerning the artist represented. The pictures are of a size that allows for framing (11x14), it being the hope that a new interest in mathematies may be aroused through the decoration of classrooms by the portraits of those who helped to create the science.

Portraits of Mathematicians, Part I. No. 102. 12 portraits on American plate

paper, $3.00. No. 102a. 12 portraits on Japanese vellum,

$5.00. Single portraits, American plate, 35c. Single portraits, Japanese velluin, 50a.

Portraits of Mathematicians, Part II. No. 103. 12 portraits on American plate paper,

$3.00. No. 103a. 12 portraits on Japanese vellum,

$5.00. Single portraits, American plate, 35 cents. Single portraits, Japanese vellum, 50c.

Portraits of Mathematicians, High School Portfolio Eight portraits selected from the two preceding portfolios. No. 104. 8 portraits on American plate paper, $2'.00. No. 104a. 8 portraits on Japanese vellum, $3.50. Single portraits on American plate paper, 35c. Single portraits on Japanese vellum, 50c.

A Similar Series of Portraits of Philosophers and Psychologists also published by

THE OPEN COU-RT PUBLISHING COMPANY 122 S. MICHIGAN AVE. CHICAGO, ILL.

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Church and Bartlett's Elements of

Descriptive Geometry

By ALBERT E. CHURCH, LL.D., late Professor of Mathematics, United States Military Academy, and GEORGE M. BARTLETT, M. A.,

Instructor in Descriptive Geometry and Mechanism, University of Michigan.

Price, $2.25

A MODERN treatment of descriptive geometry with applications to spherical projections, shades and shadows, perspective, and isometric projections, for use in technical schools and colleges. This work differs

somewhat widely from Church's Descriptive Gxeometry. The figures and text are included in the same volume, each figure being placed beside the correspond- ing text; general cases are preferred to special ones; a sufficient number of problems are solved in the third angle to familiarize the student with its use; a treatment of the profile plane of projection is introduced; many exercises for practice have been included; several of the more difficult elementary problems have been illustrated by pictorial views; in the treatment of curved surfaces all problems relating to single-curved surfaces are taken up first, then those re- lating to warped surfaces, and finally those relating to surfaces of revolution. Experience proves this order to be a logical one, as the procedure is from the simple to the more complex. Also the student is more quickly prepared for drawing-room work on intersections and developments; and in case it is desired to abbreviate the course by omitting warped surfaces, the remaining problems will be found to be arranged consecutively.

Correspondence solicited.

AMERICAN BOOK COMPANY NEW YORK (New Number) 330 East 22nd Street CINCINATTI CHICAGO CHICAGO

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